{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as ds\n",
    "import matplotlib.colors\n",
    "# 数据集的个数\n",
    "data_num = 1000\n",
    "# k值，同时也是生成数据集的中心点\n",
    "k_num  = 4\n",
    "\n",
    "# 生成聚类数据，默认n_features为二，代表二维数据，centers表示生成数据集的中心点个数，random_state随机种子\n",
    "data,y=ds.make_blobs(n_samples=data_num,centers=k_num,random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不同的数据簇用不同的颜色表示\n",
    "data_colors = matplotlib.colors.ListedColormap(['red','blue','yellow','Cyan'])\n",
    "# data为二维数据\n",
    "plt.scatter(data[:,0],data[:,1],c=y,cmap=data_colors)\n",
    "plt.title(\"orginal data\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''\n",
    "sklearn.cluster.KMeans(\n",
    "\tn_clusters=8, \n",
    "\tinit='k-means++', \n",
    "\tn_init=10, \n",
    "\tmax_iter=300, \n",
    "\ttol=0.0001, \n",
    "\tprecompute_distances='auto', \n",
    "\tverbose=0, \n",
    "\trandom_state=None, \n",
    "\tcopy_x=True, \n",
    "\tn_jobs=1, \n",
    "\talgorithm='auto' )\n",
    "参数说明：\n",
    "(1)n_clusters:簇的个数，也就是k值\n",
    "(2)init: 初始簇中心的方式，可以为k-means++,也可以为random\n",
    "(3)n_init: k-means算法在不同随机质心情况下迭代的次数，最后的结果会输出最好的结果\n",
    "(4)max_iter: k-means算法最大的迭代次数\n",
    "(5)tol: 关于收敛的相对公差\n",
    "(8)random_state: 初始化质心的随机种子\n",
    "(10)n_jobs: 并行工作，-1代表使用所有的处理器\n",
    "'''\n",
    "from sklearn.cluster import KMeans\n",
    "model=KMeans(n_clusters=k_num,init='k-means++')\n",
    "# 训练\n",
    "model.fit(data)\n",
    "# 分类预测\n",
    "y_pre= model.predict(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data[:,0],data[:,1],c=y_pre,cmap=data_colors)\n",
    "plt.title(\"k-means' result\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as ds\n",
    "import matplotlib.colors\n",
    "data_num = 1000\n",
    "k_num  = 2\n",
    "data,y=ds.make_circles(n_samples=data_num, noise=.1,random_state=0,factor=.4)\n",
    "# 不同的数据簇用不同的颜色表示\n",
    "data_colors = matplotlib.colors.ListedColormap(['red','blue'])\n",
    "\n",
    "# data为二维数据\n",
    "plt.scatter(data[:,0],data[:,1],c=y,cmap=data_colors)\n",
    "plt.title(\"orginal data\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "model=KMeans(n_clusters=k_num,init='k-means++')\n",
    "# 训练\n",
    "model.fit(data)\n",
    "\n",
    "# 分类预测\n",
    "y_pre= model.predict(data)\n",
    "plt.scatter(data[:,0],data[:,1],c=y_pre,cmap=data_colors)\n",
    "plt.title(\"k-means' result\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
